Finding the Third Proportional to 302,356.50 and 457,446
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Solution
The third proportional to 302,356.50 and 457,446 is: 692,086.47
Step by Step Solution
- Step 1: Write the proportion equation
302,356.50 : 457,446 = 457,446 : x - Step 2: Convert to fraction form
302,356.50/457,446 = 457,446/x - Step 3: Cross multiply
302,356.50x = 457,446 × 457,446 - Step 4: Simplify right side
302,356.50x = 209,256,842,916 - Step 5: Solve for x
x = 209,256,842,916/302,356.50 - Step 6: Final answer
x = 692,086.47
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.